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gizmo_the_mogwai [7]
2 years ago
14

Find the measure if angle R, goven that the largest triangle is a right triangle

Mathematics
1 answer:
disa [49]2 years ago
8 0

Answer:

  • 27°

Step-by-step explanation:

Since the largest triangle is right triangle, the vertical segment is the perpendicular bisector of right angle with vertex at the center of circle.

<u>Then we have</u>

  • m∠R + 18° = 90°/2
  • m∠R + 18° = 45°
  • m∠R = 45° - 18°
  • m∠R = 27°
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A car traveled 180 miles at a constant rate. Write an equation that would
Mnenie [13.5K]

Answer:

180/t = r

Step-by-step explanation:

In this question, we would have to write an equation that represents the scenario given.

We know that the car traveled 180 miles at a constant rate.

We would use the y = mx + b format for the equation, but replacing the variables with "r" and "t"

We know that 180 will be our y-variable, since that would be the base of the equation:

180 = ???

And to find how long/fast it will take the car, we would need to multiply the rate of speed "r" and time "t" in order to get our distance.

Plug it into the equation:

180 = rt

With this set up, you can find the rate of speed of the car when you know the time.

You would simply solve it as:

180/t = r

7 0
3 years ago
Given that ABC~LMN<br> What is the length of AC?
sleet_krkn [62]

Answer:

B. 12

Step-by-step explanation:

✔️Find the value of x

The side lengths of two similar triangles are always proportional.

Given that ∆ABC ~ ∆LMN, therefore:

\frac{AB}{LM} = \frac{AC}{LN}

AB = 5

LM = 10

AC = x + 5

LN = 3x + 3

Plug in the values

\frac{5}{10} = \frac{x + 5}{3x + 3}

Cross multiply

5(3x + 3) = 10(x + 5)

15x + 15 = 10x + 50 (distributive property)

Collect like terms

15x - 10x = -15 + 50

5x = 35

Divide both sides by 5

x = 7

✔️Find AC

AC = x + 5

Plug in the value of x

AC = 7 + 5

AC = 12

6 0
3 years ago
the cost (in dollars) of making n birthday cakes is represented by C= 24n + 35. How many birthday cakes are made when the cost i
bagirrra123 [75]

Answer:

n= 16

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is 6x^3+20x^2+15x+3 divided by 3x+1
torisob [31]

Answer:

2x^2+6x+3

Step-by-step explanation:

answer : 2x^2+6x+3

3 0
3 years ago
(a) Predict the median income of a region in which 30% of adults 25 years and older have at least a bachelor's degree.
Step2247 [10]

Answer:

(a). $35746. (b). Higher.

Step-by-step explanation:

(a). Given that the least-squares regression equation is y = 7163x + 14242. Also, in the question above we are given that y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region, that is to say that the value of x = 30.

Therefore, y = 7163x + 14242.

y = (7163 × 30) + 14242.

y = $35746.

(b). The condition for our x is; 28.7 percent of adults 25 years and older have at least a bachelor's degree.

Then, y = (7163 × 28.7) + 14242.

y = $34814.

Hence, we have the median income in this region = $38,163 HIGHER than $34814.

4 0
3 years ago
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